%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LCL406-1 : TPTP v9.3.1. Released v2.4.0. % Transfm : NO INFORMATION % Format : NO INFORMATION % Command : run_E %s %d THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 02:59:57 PM UTC 2026 % Result : Satisfiable 0.12s 0.42s % Output : Model 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL406-1 : TPTP v9.3.1. Released v2.4.0. % 0.00/0.03 % Command : run_E %s %d THM % 0.09/0.35 % Computer : n001.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 08:01:18 UTC 2026 % 0.09/0.36 % CPUTime : % 0.12/0.42 % SZS status Satisfiable % 0.12/0.42 % SZS output start Model % 0.12/0.42 tff(tptp_fun__i_val_1_type, type, ( % 0.12/0.42 tptp_fun__i_val_1: $i)). % 0.12/0.42 tff(less_or_equal_type, type, ( % 0.12/0.42 less_or_equal: ( $i * $i ) > $o)). % 0.12/0.42 tff(successor_type, type, ( % 0.12/0.42 successor: $i > $i)). % 0.12/0.42 tff(formula1, axiom, % 0.12/0.42 ![X0: $i, X1: $i] : (less_or_equal(X0, X1) <=> (~((X1 = $i!val!1) & (~(X0 = $i!val!1)))))). % 0.12/0.42 tff(formula2, axiom, % 0.12/0.42 ![X0: $i] : (successor(X0) = $i!val!1)). % 0.12/0.42 % SZS output end Model % 0.12/0.42 % E exiting %------------------------------------------------------------------------------